-5x<0 and 5x+6>-14
were doing and inequality and I cant get this one
To solve the inequality -5x < 0, you need to isolate the variable x. Let's go through the steps:
Step 1: Divide both sides by -5 to maintain the inequality's direction:
(-5x) / (-5) > 0 / (-5)
This simplifies to:
x > 0
So, the solution to the inequality -5x < 0 is x > 0.
Now let's move on to the second inequality, 5x + 6 > -14:
Step 1: Subtract 6 from both sides:
(5x + 6) - 6 > -14 - 6
This simplifies to:
5x > -20
Step 2: Divide both sides by 5 to isolate x:
(5x) / 5 > (-20) / 5
This simplifies to:
x > -4
So, the solution to the inequality 5x + 6 > -14 is x > -4.
Now, we need to find the common solution to both inequalities. Since we have x > 0 and x > -4, the common solution is x > 0, because any value greater than 0 will also be greater than -4.
Therefore, the solution to the system of inequalities -5x < 0 and 5x + 6 > -14 is x > 0.